I am not a thrill ride person. At age 4 1/2, I wouldn't even have gone to a county fair.
Study after study shows that some people's brain chemistry is such that they experience the same sensations on the small kiddie rides that other people do on huge thrill rides. So, those big, fast, high rides are NOT fun for someone like me. I've had people worry that I'm missing out, and I'm 45! It's so hard to get adrenaline junkies to wrap their heads around the idea that I really, truly WILL NOT have fun on rides that they love.
One of my kids is like my husband and loves coasters. The other 3 are like me. My husband spent years assuming that the kids were just imitating me, and that I was somehow broken, before finally deciding that, OK, everyone is different. He still thinks we're wrong, but that's OK. :)
I love Disney, but the first time I went I was 17. I'll ride Space Mountain, the Matterhorn (in Disneyland), Big Thunder Mountain (one of my favorites!) and Splash Mountain, but Splash only if it's HOT, HOT - I hate walking around wet. Expedition Everest is the absolute limit of what I'll ride, and I close my eyes on the big drop. My 24 year old daughter won't ride even some stuff that I will, but she too loves Disney. We love the whole atmosphere, the shows, the entire experience, not just big rides. My 12 year old also loves Disney, but won't do the teacups - the spinning makes her sick.
On the other hand, some of my friends only ride the big rides over and over, and never do the other stuff. I think that's wierd - especially when they're like my 16 year old's best friend, who'll ride the same ride over and over until he throws up. How fun is that?
Everyone does not have to be the same! She may never like amusement rides. She might decide when she's older that she loves them. Don't push, nag or get disappointed. Give her opportunities to do something just a tiny bit outside her comfort zone, and her comfort zone might expand. If not, well, she doesn't have to ride amusement rides.